Question

question
find the volume of a right - circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. round your answer to the nearest tenth of a cubic centimeter.
answer attempt 5 out of 3
cm³ submit answer

Explanation:

Step1: Find the radius

The diameter $d = 15.8$ cm, so the radius $r=\frac{d}{2}=\frac{15.8}{2}=7.9$ cm.

Step2: Use the volume formula for a cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 7.9$ cm and $h=17.7$ cm into the formula.
$V=\frac{1}{3}\times\pi\times(7.9)^{2}\times17.7$
$V=\frac{1}{3}\times\pi\times62.41\times17.7$
$V=\frac{1}{3}\times\pi\times1104.657$
$V\approx\frac{1}{3}\times3.14159\times1104.657$
$V\approx\frac{3470.777}{3}$
$V\approx1156.9$ $cm^{3}$

Answer:

$1156.9$